Rough Sets and the Algebra of Conditional Logic
| Autor: | Gayatri Panicker, Mohua Banerjee |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Class (set theory)
Representation theorem Computer science 010102 general mathematics 06 humanities and the arts 0603 philosophy ethics and religion 01 natural sciences Three-valued logic Connection (mathematics) Algebra Conditional logic ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 060302 philosophy Rough set 0101 mathematics Algebra over a field |
| Zdroj: | Rough Sets ISBN: 9783030228149 IJCRS |
| DOI: | 10.1007/978-3-030-22815-6_3 |
| Popis: | In this paper, we consider McCarthy’s three-valued logic and its corresponding algebra, a C-algebra, and introduce a connection of C-algebras with rough sets. Rough sets, with suitable operations, are shown to form a C-algebra. Further, we present a representation theorem for the class of C-algebras, establishing that every C-algebra can be embedded in a family of rough sets. The results are illustrated with examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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